137368319 has 16 divisors (see below), whose sum is σ = 152216064. Its totient is φ = 122930400.

The previous prime is 137368289. The next prime is 137368367. The reversal of 137368319 is 913863731.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137368319 is a prime.

It is a super-2 number, since 2×137368319² = 37740110129771522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137368019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297749 + ... + 298209.

It is an arithmetic number, because the mean of its divisors is an integer number (9513504).

Almost surely, 2^137368319 is an apocalyptic number.

137368319 is a deficient number, since it is larger than the sum of its proper divisors (14847745).

137368319 is a wasteful number, since it uses less digits than its factorization.

137368319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838.

The product of its digits is 81648, while the sum is 41.

The square root of 137368319 is about 11720.4231578898. The cubic root of 137368319 is about 515.9752394324.

The spelling of 137368319 in words is "one hundred thirty-seven million, three hundred sixty-eight thousand, three hundred nineteen".